LEADER 02817nam 22004935 450 001 9910254083803321 005 20200705155626.0 010 $a3-319-39558-0 024 7 $a10.1007/978-3-319-39558-6 035 $a(CKB)3710000000909074 035 $a(DE-He213)978-3-319-39558-6 035 $a(MiAaPQ)EBC6314543 035 $a(MiAaPQ)EBC5595859 035 $a(Au-PeEL)EBL5595859 035 $a(OCoLC)1076258003 035 $a(PPN)196325374 035 $a(EXLCZ)993710000000909074 100 $a20161014d2016 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAlgorithmic Mathematics /$fby Stefan Hougardy, Jens Vygen 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016. 215 $a1 online resource (XIII, 163 p. 41 illus., 40 illus. in color.) 311 $a3-319-39557-2 327 $a1 Introduction -- 2 Representations of the Integers -- 3 Computing with Integers -- 4 Approximate Representations of the Real Numbers -- 5 Computing with Errors -- 6 Graphs -- 7 Simple Graph Algorithms -- 8 Sorting Algorithms -- 9 Optimal Trees and Paths -- 10 Matchings and Network Flows -- 11 Gaussian Elimination -- Bibliography -- Index. 330 $aAlgorithms play an increasingly important role in nearly all fields of mathematics. This book allows readers to develop basic mathematical abilities, in particular those concerning the design and analysis of algorithms as well as their implementation. It presents not only fundamental algorithms like the sieve of Eratosthenes, the Euclidean algorithm, sorting algorithms, algorithms on graphs, and Gaussian elimination, but also discusses elementary data structures, basic graph theory, and numerical questions. In addition, it provides an introduction to programming and demonstrates in detail how to implement algorithms in C++. This textbook is suitable for students who are new to the subject and covers a basic mathematical lecture course, complementing traditional courses on analysis and linear algebra. Both authors have given this "Algorithmic Mathematics" course at the University of Bonn several times in recent years. 606 $aAlgorithms 606 $aAlgorithms$3https://scigraph.springernature.com/ontologies/product-market-codes/M14018 615 0$aAlgorithms. 615 14$aAlgorithms. 676 $a518.1 700 $aHougardy$b Stefan$4aut$4http://id.loc.gov/vocabulary/relators/aut$0755819 702 $aVygen$b Jens$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254083803321 996 $aAlgorithmic Mathematics$92004336 997 $aUNINA